Abstract
We prove that a bounded operator on a Banach lattice, satisfying a growth condition, is regular. Also, we prove that the generator of a C 0-semigroup on such a lattice for which such an operator exists is bounded.
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Arendt, W., Voigt, J. Domination of uniformly continuous semigroups. Acta Appl Math 27, 27–31 (1992). https://doi.org/10.1007/BF00046633
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DOI: https://doi.org/10.1007/BF00046633